Though I have never used dbmopen (I'd go for tie instead), I think the following is worth trying, at least if $SR is indeed a hash ref like you claim it should be: 
  dbmopen( %$SR, $DBFile, 0666 )

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I know for a fact that tieing a hash via a hashref does work, in this way.

In reply to Re: Using a hash pointer with dbmopen by bart
in thread Using a hash pointer with dbmopen by K2KO

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